DAY 258:

The Main Challenge

Our arithmetic and strategy board game, Mathematically Possible, uses three normal dice involving numbers from 1 to 6, but larger numbers can be introduced to the game simply by using special dice, just as in this challenge.

Use the numbers 2, 4 and 10 once each, with + – × ÷ available, can you list the FOURTEEN target numbers from 1-30 that are mathematically possible to achieve?

The 7puzzle Challenge

The playing board of the 7puzzle game is a 7-by-7 grid of 49 different numbers, ranging from up to 84.

The 3rd & 7th rows contain the following fourteen numbers:

4   11   13   24   25   27   30   36   42   45   66   70   77   80

What is the difference between the two prime numbers listed?

The Factors Challenge

Which of the following numbers are factors of 258?

2     3     4     5     6     7     8     9     10

The Mathematically Possible Challenge

Based on our best-selling arithmetic board game.

Using 58 and 11 once each, with + – × ÷ available, which are the only TWO numbers it is possible to make from the list below?

40    41    42    43    44    45    46    47    48    49

#NumbersIn40s

The Target Challenge

Can you arrive at 258 by inserting 1, 2, 4, 5 and 10 into the gaps below?

  •  ◯×(◯²+◯)–(◯÷◯) = 258

Answers can be found here.

Click Paul Godding for details of online maths tuition.

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